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Finding the Fourth Proportional to 256,517.88, 384,782.28 and 88,037.47

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Solution

The fourth proportional to 256,517.88, 384,782.28 and 88,037.47 is: 132,058.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,517.88 : 384,782.28 = 88,037.47 : x
  2. Step 2: Convert to fraction form
    256,517.88/384,782.28 = 88,037.47/x
  3. Step 3: Cross multiply
    256,517.88x = 384,782.28 × 88,037.47
  4. Step 4: Simplify right side
    256,517.88x = 33,875,258,432.03
  5. Step 5: Solve for x
    x = 33,875,258,432.03/256,517.88
  6. Step 6: Final answer
    x = 132,058.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.